Question

find the area of a circle with diameter 10 yd. use the value 3.14 for π, and do not round your answer. be sure to include the correct unit in your answer.

Explanation:

Step1: Find the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 10\) yd, so \(r=\frac{d}{2}=\frac{10}{2}=5\) yd.

Step2: Use the area formula

The formula for the area \(A\) of a circle is \(A=\pi r^{2}\). Substitute \(\pi = 3.14\) and \(r = 5\) yd into the formula: \(A=3.14\times5^{2}\).
First, calculate \(5^{2}=25\). Then \(A = 3.14\times25\).
\(3.14\times25=(3 + 0.14)\times25=3\times25+0.14\times25=75 + 3.5=78.5\).

Answer:

\(78.5\) \(yd^{2}\)